Answer to Question #15142 in Mechanics | Relativity for Matt Schmidt

Question

Rain falls from a cloud 1.73 km above you. Ignoring air resitance, what is the speed of a raindrop when it his the ground in meters per second?

Answer 1

First let's find the time needed the raindrop to reach the ground:

H = gt²/2 ==> t = √(2H/g).

Now we can find the speed of a raindrop:

V = gt = g√(2H/g) = 9.8[m/s²]√(2*1730[m]/9.8[m/s²]) ≈ 184.1 [m/s].